The structure of hydrogen molecule is the simplest in the universe, while its neutral cluster is a research prototype of molecular cluster science. At present, the study on the structures and dynamics of hydrogen clusters is still one of keystones in the research of basic sciences. Meanwhile, emphases of experimental and theoretical studies of hydrogen clusters are focused on the following three aspects including formation conditions and size distribution, ionization energy or appearance energy, and computation of quantum chemistry. The present status on the experimental and theoretical studies of hydrogen clusters are introduced comprehensively. At the same time, the progress of the photoionization of hydrogen clusters accomplished in our group are also introduced. It’s expected that some information is provided for the basic and application research of hydrogen clusters in the future.